Step-by-step explanation: For edge2020 it is C graph.
I NEED HELP ON #6 PLEASE!!
please show the work
Answer:
x=-4 y=4
(-4,4)
Step-by-step explanation:
Which dog eats the most food per week
Answer:
buddy
Step-by-step explanation:
ate 0.4 from a bag
hope this helps
Answer:
Buddy
Step-by-step explanation:
4/10 as a decimal is 0.4
Nexis Corp. issues 1,020 shares of $12 par value common stock at $16 per share. When the transaction is recorded, what credit entry or entries are made
Common stock $12240 and paid-in capital in excess of par value $5100.
What is the common stock?
Common stock is a sort of instrument that represents company equity ownership. Outside of the United States, the words voting share and ordinary share are also commonly used. In the United Kingdom and other Commonwealth countries, they are referred to as equity shares or ordinary shares.
Here, we have
Given: Nexis Corp. issues 1020 shares of $12 par value common stock at $16 per share.
So $5 per share is the premium on the issued share.
The premium is commonly recorded in a paid-in capital account.
1020×12 = $1,2240 and a premium would be recorded in common stock.
1020×5 = 5100, would be recorded in the paid-in capital account.
Hence, Common stock is $12240, and paid-in capital in excess of par value is $5100.
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A 150-pound person uses 5.2 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 240
calories?
Answer: 37.31 minutes
Step-by-step explanation:
Define and explain in detail, Pythagoras'
theorem.
note:
* don't copy paste any internet sources
* use your own words and ideas
* between 200 to 500 words
* typed answer only
please help
Pythagoras' theorem is named after Pythagoras, who was a Greek mathematician that lived around 500 B.C. It is a geometric principle that states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs). This can be represented by the equation a² + b² = c², where c is the hypotenuse and a and b are the lengths of the other two sides.
The proof of the Pythagorean Theorem can be done in various ways. One common method involves drawing squares on each side of a right-angled triangle and comparing their areas. Another method involves using similar triangles and the concept of ratios.
The Pythagorean Theorem has also been extended to apply to three-dimensional objects, such as pyramids and spheres. In these cases, the theorem relates to the surface areas and volumes of the objects.
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Fill in the missing spaces in the table below.g(x)= 3x² +6x-4(0, -4)--7)Featuresf(x)= - - 2x² ++ 8x + 1y-interceptvertex(2,axis ofx= 2symmetrymaximum orminimum valueopens upwardor downwardminimumupwardFeaturesy-interceptvertexf(x) = - 2x + 8x+1(0,1)g(x)= 3x² +6x-4(0,- 4)0.-7)(Type an ordered pair.)(Simplify your answer.)
Part A
Given f(x) defined below:
\(f(x)=-2x^2+8x+1\)The y-intercept is the value of y when x=0.
\(\begin{gathered} f(0)=-2(0)^2+8(0)+1=1 \\ y-\text{intercept:}(0,1) \end{gathered}\)Vertex
Since the axis of symmetry is given as x=2:
\(\begin{gathered} f(2)=-2(2)^2+8(2)+1 \\ =-2(4)+16+1 \\ =9 \\ \implies\text{Vertex:}(2,9) \end{gathered}\)Minimum/Maximum Value
Since the coefficient of x² is negative, there is a maximum value.
• Maximum Value = 9
,• The graph opens downwards.
Part B
Given g(x) defined below:
\(g(x)=3x^2+6x-4\)The axis of symmetry is derived using the formula below:
\(\begin{gathered} x=-\frac{b}{2a},a=3,b=6 \\ x=-\frac{6}{2\times3}=-\frac{6}{6} \\ x=-1 \end{gathered}\)• Axis of Symmetry: x=-1
,• Vertex: (-1,-7)
A cloth bag contains a mix of black, white and red balls. Selecting one ball at random, the probability of getting a black ball is 0.2 , while the probability of getting a white ball is 0.5 . (a) Selecting one ball at random, what is the probability of getting a red ball ? (b) If in total there are 5 white balls in the bag, how many black balls are there ? (c) If there are in total 3 red balls in the bag, how many balls are there altogether ?
pls give the way
Answer:
a) 0.3
Step-by-step explanation:
The probability of getting a red ball, the number of black balls and total balls are 0.3, 2 and 10 respectively.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
Given that,
The probability of getting a black ball is 0.2.
The probability of getting a white ball is 0.5.
(a) As the bag contains only black, white and red balls, the probability of getting a red ball is,
1 - (0.2 + 0.5)
= 0.3
(a) The probability of getting white balls can be written as,
P (white ball) = Number of white balls ÷ Total number of balls
Substitute all the given values to get,
Total number of balls = 5 ÷ 0.5
= 10
Similarly, for black balls it can be written that,
P (black ball) = Number of black balls ÷ Total number of balls
Substitute all the given values to get,
Number of black balls = 10 × 0.2
= 2
(c) When number of red balls are three then,
P (red ball) = Number of red balls ÷ Total number of balls
Substitute all the given values to get,
Total number of balls = 3 ÷ 0.3
= 10.
Hence, the answers for all the parts are 0.3, 2 and 10 respectively.
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Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $15 and same-day tickets cost $20. For one performance,there were 45 tickets sold in all, and the total amount paid for them was $825. How many tickets of each type were sold?Number of advance tickets sold: Number of same-day tickets sold:
Let,
Number of Advance Tickets = a
Number of Same-Day tickets = s
Given,
Total 45 tickets sold
We can write
\(a+s=45\)Also, each advance ticket cost $15 and same day tickets cost $20 for a total of $825. Thus, we can write:
\(15a+20s=825\)We will multiply the first equation by - 15 and then add both equations. Then, solve for "s". The steps are shown below:
\(\begin{gathered} -15\times\lbrack a+s=45\rbrack \\ -15a-15s=-675 \\ ------------- \\ -15a-15s=-675 \\ 15a+20s=825 \\ ------------- \\ 5s=150 \\ s=\frac{150}{5} \\ s=30 \end{gathered}\)Now, we can use this value of "s" and put it into Equation 1 and find the value of "a". Shown below:
\(\begin{gathered} a+s=45 \\ a+30=45 \\ a=45-30 \\ a=15 \end{gathered}\)AnswerNumber of advance tickets sold: 15Number of same-day tickets sold: 30PLEASE HELPP!! (10 points)
Answer:
D.0.58
Step-by-step explanation:
Answer:
The answer is the 4th option: 0.58
Step-by-step explanation:
Absolute value is how far away that number is from the numberline.
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The length of one of two chords of a circle is 12 cm. If the chords are 6 cm and 7 cm respectively away from the centre of the circle, calculate the length of the second chord. please I need this answered by tomorrow
The length of the second chord of the circle is 10 cm
How to find the length of the chordThe length of chord in a circle is related to the distance from the center by forming a right triangle and using Pythagoras theorem the required side is calculated.
information given in the question is interpreted as
hypotenuse = radius of the circle, r
opposite = distance of the chord from the center
adjacent = length of chord divided by 2
The problem is solved using the Pythagoras theorem is applicable to right angle triangle. the formula of the theorem is
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
r² = 6² + 6²
r² = 36 + 36
r = √72
the length of the second chord
(√72)² = 7² + x²
x² = 72 - 49
x = √23
Length of the chord = x * 2 = 2x = 2√23
= 9.592 cm
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When constructing a frequency distribution for a numerical variable, it is important to remember that __________.
When constructing a frequency distribution for a numerical variable, it is important to remember that the size of the class intervals must be appropriate.
It is not a good idea to use small class intervals, as it may result in too many classes and low frequencies. However, it is also not a good idea to use large class intervals, as it may result in too few classes and high frequencies.Furthermore, it is important to ensure that the lower limit of each class interval is included in that class, but the upper limit is not.
Additionally, the class intervals should be mutually exclusive and should not overlap. Finally, the data should be properly categorized before constructing the frequency distribution.The purpose of constructing a frequency distribution is to organize data into groups or categories, known as classes or intervals, to facilitate data analysis and interpretation.
This distribution shows the number of occurrences of each value or group of values in a set of data. This information can be presented graphically using histograms or frequency polygons, which provide a visual representation of the distribution of the data.
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Creating a frequency distribution involves dividing the variable range into equal, non-overlapping class intervals and counting the number of scores that fall into each. These frequencies summarize the dataset and can be used for further analysis and visualization.
Explanation:When constructing a frequency distribution for a numerical variable, it is important to remember that the variable range should be divided into equal interval groups (class intervals) but not overlapping. For example, for a set of exam scores ranging from 60 to 100, you might divide the range into class intervals of 60-70, 70-80, 80-90 and 90-100. Then, count the number of scores (frequency) that fall into each class interval. This distribution of frequencies gives a good summary of the data set and can be further utilized to create visual representations such as histograms or bar charts.
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an explanation of an event that is based on repeated observations and experiments is a
An explanation of an event that is based on repeated observations and experiments is a scientific theory
A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.
We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts
Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.
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6. two cards are drawn from a standard deck of cards. the first card is not put back into the deck after being drawn. what is the probability that the first card is a diamond or the second card is face card?
Therefore, the probability that the first card is a diamond or the second card is a face card is approximately 0.3039.
We can solve this problem by using the addition rule of probability.
The probability of the first card being a diamond is 13/52 (since there are 13 diamonds in a standard deck of 52 cards). The probability of the second card being a face card is 12/51 (since there are 12 face cards left in the deck after the first card is drawn).
To find the probability that either event occurs, we add the probabilities and subtract the probability of both events happening together (since we only want to count that once):
P(diamond or face card) = P(diamond) + P(face card) - P(diamond and face card)
P(diamond or face card) = 13/52 + 12/51 - (3/51) [since there are 3 face cards that are also diamonds]
Simplifying the expression, we get:
P(diamond or face card) = 0.3039
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A recipe calls for 1/2 cup of lemon juice for each cup of water. Complete the table and plot the pairs of values on the coordinate plane.
The proportion of given recipe is given by the function as f(x) = 2x
What is proportion?A proportion is a comparison of two numbers that each represent the parts of a whole.
Given that, A recipe calls for 1/2 cup of lemon juice for each cup of water. According to the question, we have,
When there is 1 cup of lemon juice, there will be 2 cups of water,
For 2 cup lemon juice, there are 4 cups of water
For 3 cups of lemon juice, there are 6 cups of water required.
Therefore, the function will be f(x) = 2x, where x is the number of cups of lemon juice.
Hence, The proportion of the given recipe is given by the function as
f(x) = 2x
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A. graph the system of inequalities. you may use the included coordinate plane or create one of your own. B. name one solution to the system C. is the ordered pair (1, 1) a solution to the system? why it why not?
A. The Slope-Intercept form of the equation of a line is:
\(y=mx+b\)Where "m" is the slope and "b" is the y-intercept.
• Given the first inequality:
\(y>\frac{1}{3}x-2\)You know that the line is:
\(y=\frac{1}{3}x-2\)You can identify that:
\(\begin{gathered} m_1=\frac{1}{3} \\ \\ b_1=-2 \end{gathered}\)You can find the x-intercept by substituting this value into the equation:
\(y=0\)And then solve for "x":
\(\begin{gathered} 0=\frac{1}{3}x-2 \\ \\ 2=\frac{1}{3}x \\ \\ (2)(3)=x \\ x=6 \end{gathered}\)Then this line passes through this points:
\(\begin{gathered} \mleft(0,-2\mright) \\ \mleft(6,0\mright) \end{gathered}\)The symbol of the first inequality is:
\(>\)That means that you must graph a dashed line and the shaded region must be above the line.
Knowing the shown above, you can graph the line.
• Given the second inequality:
\(2x+2y\ge8\)The line is:
\(2x+2y=8\)To find the y-intercept you must make
\(x=0\)And solve for "y":
\(\begin{gathered} 2(0)+2y=8 \\ \\ y=\frac{8}{2} \\ \\ y=4 \end{gathered}\)To find the x-intercept, substitute into the equation
\(y=0\)And solve for "x":
\(\begin{gathered} 2x+2(0)=8 \\ 2x=8 \\ \\ x=\frac{8}{2} \\ \\ x=4 \end{gathered}\)Therefore, the second line passes through these points:
\(\begin{gathered} (0,4) \\ (4,0) \end{gathered}\)Since the symbol of the inequality is
\(\ge\)You must graph a solid line and the shaded region must be above the line.
The graph is:
B. The solutions of the System of inequalities are in the intersection region. Then, analyzing the graph, you can determine that this is one solution to the system:
\((5,5)\)C. Having the ordered pair
\((1,1)\)And observing the graph, you can see that it is not in the intersection region. Therefore, it is not a solution to the system.
The answers are:
A.
B.
\((5,5)\)C. No, it is not. Because it is not in the intersection region.
you count 55 cells in the picture. the field of view is 1.85 mm x 1.23 mm. estimate how many cells are in your t75 flask.
Based on the given information, the estimate for the number of cells in a T75 flask can be calculated by comparing the number of cells in the picture to the field of view area and then scaling it up to the size of the T75 flask.
Given that there are 55 cells in the picture, we can use this information to estimate the density of cells in the field of view. The field of view has dimensions of 1.85 mm x 1.23 mm, which gives an area of 2.7095 square millimeters (\(mm^2\)). To calculate the cell density, we divide the number of cells (55) by the area (2.7095 \(mm^2\)), resulting in an approximate cell density of 20.3 cells per \(mm^2\).
Now, to estimate the number of cells in a T75 flask, we need to know the size of the flask's growth area. A T75 flask typically has a growth area of about 75 \(cm^2\). To convert this to \(mm^2\), we multiply by 100 to get 7500 \(mm^2\).
To estimate the number of cells in the T75 flask, we multiply the cell density (20.3 cells/\(mm^2\)) by the growth area of the flask (7500 \(mm^2\)). This calculation gives us an approximate estimate of 152,250 cells in the T75 flask. It's important to note that this is just an estimate, and actual cell counts may vary depending on various factors such as cell size, confluency, and experimental conditions.
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The values in the table represent a function.
f(x)
8
X
-6
7
4
3
-5
3
-5
-2
12
Use the drop-down menus to complete the
statements.
The ordered pair given in the first row of the table can
be written using function notation as
f(3) is
◊
f(x) = -5 when x is
Done
The ordered pair given in the first row of the table can be written as (8, f(8)).
f(3) is equal to 7.
f(x) = -5 when x is -6 or -2.
The table represents a function where the input values (x) correspond to the output values (f(x)). Let's analyze the given information to complete the statements:
The ordered pair given in the first row of the table can be written using function notation as (x, f(x)) = (8, f(8)). This means that when x is equal to 8, the corresponding function value is f(8).
To find f(3), we look for the row in the table where x is equal to 3. From the given table, we can see that when x is 3, the corresponding function value f(x) is 7. Therefore, f(3) is equal to 7.
Similarly, to find when f(x) is equal to -5, we look for the rows in the table where the function value is -5. From the table, we can see that when x is equal to -6 and -2, the function value f(x) is -5. Therefore, we can say that f(x) = -5 when x is -6 or -2.
In summary:
The ordered pair given in the first row of the table can be written as (8, f(8)).
f(3) is equal to 7.
f(x) = -5 when x is -6 or -2.
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PLZ HELP U GET 10 POINTS PLZZZZZ
Write 9 as a product of primes use index notation when giving answer what's the answer
Answer:
3x3 =9
3 is a prime number, 3x3=9
a standing wave is set up in a pool 24 m long which contains six loops. what is the wavelength? a) 24 m b) 48 m c) 8 m d) 4 m
Two length of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. Given that the pool in this instance is 24 m long and has six loops, the wavelength is 4 m.
Wavelength = Length of Pool / Number of Loops
24 m / 6 loops
= 4 m
Wavelength
= 4 m
Two waves of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. A stationary wave pattern is produced when the two waves collide and interfere with one another. Six loops make up the 24 m-long pool in this instance. As a result, the standing wave's wavelength is equal to the pool's length divided by the number of loops, or 24 m / 6 = 4 m. This indicates that the standing wave's wavelength is 4 metres. Standing waves can be used to determine a wave's speed because they are equal to wavelength times frequency. Understanding how waves behave in various contexts, such as swimming pools, oceans, or other bodies of water, can be helped by this.
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100 POINTS NEED HELP ASSAP
A student is using a weak computer to design a logo. If the weak computer is the only constraint, should the student use the online version of
downloaded version of a graphic design software? (1 point)
O The downloaded version, because the online version usually requires better equipment than the downloaded version.
O The online version, because the downloaded version usually requires better equipment than the online version.
O The online version, because the downloaded version may have limited bandwidth that limits how quickly the designer can work.
O The downloaded version, because the online version may have limited bandwidth that limits how quickly the designer can work
The online version, because the downloaded version usually requires better equipment than the online version.
The online version of the graphic design software is likely the better option for the student using a weak computer. This is because the online version typically runs on the software provider's servers, rather than on the user's computer.
Therefore, the online version does not require as much processing power or memory from the user's computer, making it more accessible to those with weaker or older machines.
Additionally, the online version may also have the advantage of automatic updates, so the student can always have the latest version of the software without needing to manually download and install updates.
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A car loan worth 800,000 pesos is to be settled by making equal monthly payments at 7% interest compounded monthly for 5 years. How much is the monthly payment? How much is the outstanding balance after 2 years?
The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.
To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:
P = (r * PV) / (1 - (1 + r)^(-n))
Where:
P is the monthly payment
r is the monthly interest rate
PV is the loan amount (present value)
n is the total number of payments
In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.
Substituting these values into the formula, we have:
P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))
Calculating this expression, we find that P ≈ 16,216.38 pesos.
So, the monthly payment for the car loan is approximately 16,216.38 pesos.
To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:
Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r
Where:
PV is the loan amount (present value)
r is the monthly interest rate
n is the number of payments made
Substituting the given values into the formula, we have:
Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)
Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.
So, the outstanding balance after 2 years is approximately 650,577.85 pesos.
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mr. Walters drove to happy town from smile City in about 6 hours the distance from smile city to happy town is 315 km, what is the average speed
Answer:
52.5kmph (tbh id/k if this is right so sos!)
Step-by-step explanation:
speed = distance / time
speed = 315 / 6
speed = 52.5
example of two nonlinear functions that dont dominate each other
An example of two nonlinear functions that don't dominate each other is the sin function (f(x) = sin(x)) and the exponential function (g(x) = e^x).
For any given value of x, the sin function oscillates between -1 and 1, taking on both positive and negative values. It has a periodic nature and does not grow or decay exponentially as x increases or decreases.
On the other hand, the exponential function grows or decays exponentially as x increases or decreases. It is characterized by a constant positive growth rate. The exponential function increases rapidly when x is positive and approaches zero as x approaches negative infinity.
The key characteristic here is that the sine function oscillates while the exponential function grows or decays exponentially.
Due to their fundamentally different natures, neither function dominates the other over their entire domains.
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what is (5x+14)=(6x-8)
Let's open the brackets
5x + 14 = 6x - 8Now, let's solve by isolating like terms.
=> 8 + 14 = 6x - 5xSince all of the like variables and constants are isolated, we can easily solve by solving the constants and the variables.
=> 22 = xConclusion:Hence, the missing variable value is 22.
\(BrainiacUser1357\)
Rewrite the radical expression as an expression with rational exponents. fourth root of x to the power of 5A. 4X^5B. 5X^4C. X^5/4D. X^4/5
Answer:
C
Step-by-step explanation:
PLZZZZZ HELP NEEDED ASAP WILL GIVE BRAINLIEST (IF RIGHT)
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
x= 90° - 63° = 27° (NO perpendicular to AOB)
angle DOB = (90°+90°) -128° (angles on a straight line)
= 180° - 128°
= 52°
y= 180° - x - 63° - angle DOB (angles on a straight line)
=180° - 27° - 63° - 52°
= 38°
I'm not sure of the answer tho^^ good luck!
Given OSALE, solve for x.
3
3x + 4
5x-6
S
3
A
Answer:
x=5
Step-by-step explanation:
The sides have to be equal length
3x+4 = 5x-6
Subtract 3x from each side
3x+4-3x = 5x-6-3x
4 = 2x-6
Add 6 to each side
4+6 = 2x-6+6
10 = 2x
Divide by 2
10/2 =2x/2
5 =x
Two parallel sides is 3x + 4 = 5x - 6
\(\bf \large \longrightarrow \: \: 3x \: + \: 4 \: = \: 5 x \: - \: 6\)
\(\bf \large \longrightarrow \: \:6 \: + \: 4 \: = \: 5x \: - \: 3x\)
\(\bf \large \longrightarrow \: \:10 \: = \: 2x\)
\(\bf \large \longrightarrow \: \: \frac{10}{2} \: = \: x \\ \)
\(\bf \large \longrightarrow \: \: \cancel\frac{10}{2} \: \large \: ^{5} \: = \: x \\ \)
\(\bf \large \longrightarrow \: \:x \: = \: 5\)
Option ( B ) is the correct answer.
Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip the coin 200 times and calculate the relative frequency of heads and tails.
Outcome Heads Tails
Relative frequency 0.38 0.62
Select from the drop-down menus to correctly complete each statement.
The relative frequency of heads is
A.reasonably close to
B.very different from
40%.
Mr. Clark's claim about the theoretical probability is likely to be
A.true
B.false
This means that the theoretical probability of tails is most likely
A.0.50
B.0.60
C.0.70
The relative frequency of heads is reasonably close to 40%.Mr. Clark's claim about the theoretical probability is likely to be false. This means that the theoretical probability of tails is most likely 0.60.
The relative frequency is the ratio of the number of times an event occurred to the total number of trials. In this case, the relative frequency of heads is 0.38 and tails is 0.62.The theoretical probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.
Here, Mr. Clark claims that the coin is weighted so that the probability of heads is 40%. Therefore, the theoretical probability of heads is 0.40.However, the relative frequency of heads after 200 trials is only 0.38, which is reasonably close to 0.40. Hence, the relative frequency of heads is reasonably close to 40%.
Mr. Clark's claim about the theoretical probability of heads is likely to be false because the relative frequency of heads is less than the theoretical probability of heads (0.38 < 0.40).Therefore, the theoretical probability of tails is 1 - 0.40 = 0.60 because the coin is fair, so the probabilities of heads and tails should add up to 1. Thus, the theoretical probability of tails is most likely 0.60.
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PQ = x - 5, QR = 2x -1, and PR = 21. Find X
Answer:
7
Step-by-step explanation:
Step 1:
PQ + QR = PR
Step 2:
x - 5 + 2x - 1 = 21
Step 3:
3x - 6 = 21
Step 4:
3x = 27
Answer:
x = 7
Hope This Helps :)
The value of x is 7
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given:
PQ = x - 5, QR = 2x -1, and PR = 21.
Now, PQ+QR = 21
x-5 + 2x-1 = 21
3x - 6= 21
3x= 27
x=7
Hence, the value of x is 7.
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the probility of alvins mother will server rice with dinner is 0.78 the probilty that she will server carrots is with dinner is 0.30
The probability of both rice and carrots being served with dinner is 23.4%.
The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.
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